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Far East Journal of Applied Mathematics

Abstract:
In this paper, the inverse unsteady-state thermoelastic problem to determine the temperature, displacement and stress functions on the outer curved surface of a thin annular disc of thickness 2h occupying the space

is considered by applying finite Marchi-Fasulo transform and Laplace transform techniques.

The temperature

for a fixed value of x,

is a known function of z and t and the heat flux with temperature is maintained at zero on the plane surfaces of a thin annular disc and on inner curved surface, the temperature is maintained at

which is a known function of z and t.

Keywords and phrases: annular disc, unsteady-state, outer surface unknown, Marchi-Fasulo-Laplace transform.

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